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In this work we analyze traversable wormhole spacetimes in the framework of a covariant generalization of Einstein's General Relativity known as energy-momentum squared gravity, or $f\left(R,\mathcal T\right)$ gravity, where $R$ is the…

General Relativity and Quantum Cosmology · Physics 2023-11-16 João Luís Rosa , Nailya Ganiyeva , Francisco S. N. Lobo

In this article, new wormhole solutions in the framework of General Relativity are presented. Taking advantage of gravitational decoupling by means of minimal geometric deformation approach and, the so-called noncommutative geometry…

General Relativity and Quantum Cosmology · Physics 2023-06-02 Francisco Tello-Ortiz , B. Mishra , A. Alvarez , Ksh. Newton Singh

In this article we examine a class of wormhole and flux tube like solutions to 5D vacuum Einstein equations. These solutions possess generic local anisotropy, and their local isotropic limit is shown to be conformally equivalent to the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sergiu I. Vacaru , D. Singleton , Vitalie A. Botan , Denis A. Dotenco

Black hole (BH) solution in the conformal Weyl gravity is a generalization of the Schwarzschild spacetime which includes two additional constants appearing when integrating the third order differential equations for gravitational field. One…

General Relativity and Quantum Cosmology · Physics 2021-02-24 R. A. Konoplya

The properties of LRS class II perfect fluid space-times are analyzed using the description of geometries in terms of the Riemann tensor and a finite number of its covariant derivatives. In this manner it is straightforward to obtain the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Marklund , M. Bradley

We study self-consistent D=4 gravity-matter systems coupled to a new class of Weyl-conformally invariant lightlike branes (WILL}-branes). The latter serve as material and charged source for gravity and electromagnetism. Further, due to the…

High Energy Physics - Theory · Physics 2007-05-23 Eduardo Guendelman , Alexander Kaganovich , Emil Nissimov , Svetlana Pacheva

We have solved the Einstein-Maxwell equations for a class of isotropic metrics with constant spatial curvature in the presence of magnetic fields. We consider a slight modification of the Tolman averaging relations so that the…

General Relativity and Quantum Cosmology · Physics 2014-09-11 Eduardo Bittencourt , José Salim , Grasiele B. dos Santos

A contribution linear in r to the gravitational potential can be created by a suitable conformal duality transformation: the conformal factor is 1/(1+r)^2 and r will be replaced by r/(1+r), where r is the Schwarzschild radial coordinate.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 H. -J. Schmidt

We provide a prescription of real feasible sources that supply fuel to construct a traversable wormhole. A class of exact solutions for Einstein-Maxwell field equations describing wormhole with an anisotropic matter distribution has been…

General Relativity and Quantum Cosmology · Physics 2009-02-18 F. Rahaman , M. Kalam , K. A. Rahman

We provide the full classification, in arbitrary even and odd dimensions, of global conformal invariants, i.e., scalar densities in the spacetime metric and its derivatives that are invariant, possibly up to a total derivative, under local…

Mathematical Physics · Physics 2019-07-05 Nicolas Boulanger , Jordan François , Serge Lazzarini

An anisotropic cosmic fluid with radial heat flux which sources a time dependent Rindler-like geometry is investigated. Even though its energy density $\rho$ is positive, the radial and transversal pressures are negative and the strong…

General Relativity and Quantum Cosmology · Physics 2012-11-12 Hristu Culetu

We develop the covariant phase space formulation of Weyl-transverse gravity (WTG) in the presence of general timelike and spacelike boundaries. WTG is classically equivalent to General Relativity (GR) but possesses a reduced gauge symmetry…

General Relativity and Quantum Cosmology · Physics 2026-01-23 Gloria Odak , Salvatore Ribisi

Axially symmetric static vacuum exact solution (ASSVES) in Weyl coordinates are studied in $f(R)$ theories of gravity. In particular, we obtain a general explicit expression for the dependence between $df(R)/dR$ and the $r$ and $z$…

General Relativity and Quantum Cosmology · Physics 2012-10-25 Antonio C. Gutiérrez-Piñeres

On the basis of the Woodhouse causal axiomatics, we show that conformal proper times and an extra variable in addition to those of space and time, precisely and physically identified from experimental examples, together give a physical…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Jacques L. Rubin

We discuss the structure of a gravitational euclidean instanton obtained through coupling of gravity to electromagnetism. Its topology at fixed $t$ is $S^1\times S^2$. This euclidean solution can be interpreted as a tunnelling to a…

General Relativity and Quantum Cosmology · Physics 2009-10-22 M. Cavaglia' V. de Alfaro , F. de Felice

Non-commutativity is a key feature of spacetime geometry. The current article explores the traversable wormhole solutions in the framework of $f(R,L_m)$ gravity within non-commutative geometry. By using the Gaussian and Lorentzian…

General Relativity and Quantum Cosmology · Physics 2023-07-10 N. S. Kavya , V. Venkatesha , G. Mustafa , P. K. Sahoo

In this work, we explore the possibility that static and spherically symmetric traversable wormhole geometries are supported by modified teleparallel gravity or f(T) gravity, where T is the torsion scalar. Considering the field equations…

General Relativity and Quantum Cosmology · Physics 2012-02-16 Christian G. Boehmer , Tiberiu Harko , Francisco S. N. Lobo

A comprehensive analysis of general relativistic spacetimes which admit a shear-free, irrotational and geodesic timelike congruence is presented. The equations governing the models for a general energy-momentum tensor are written down.…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Alan A. Coley , Des J. Mc Manus

We examine some Weyl invariant cosmological models in the framework of generalized dilaton gravity, in which the action is made of a set of $N$ conformally coupled scalar fields. It will be shown that when the FRW ansatz for the spacetime…

High Energy Physics - Theory · Physics 2015-06-23 Enrique Álvarez , Sergio González-Martin , Mario Herrero-Valea

Two spherically symmetric, static Lorentzian wormholes are obtained in tetrad theory of gravitation as a solution of the equation $\rho=\rho_t=0$, where $\rho=T_{ij}u^iu^j, \rho_t=(T_{ij}-{1/2}Tg_{ij})u^iu^j$ and $u^iu_i=-1$. This equation…

General Relativity and Quantum Cosmology · Physics 2009-09-24 Gamal Gergess Lamee Nashed